Stability Analysis of a Vector-Borne Disease with Variable Human Population | Zendy

Muhammad Ozair | Zendy; Abid Ali Lashari | Zendy; Il Hyo Jung | Zendy; Young Il Seo | Zendy; Byul Nim Kim | Zendy

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Stability Analysis of a Vector-Borne Disease with Variable Human Population

Author(s) -

Muhammad Ozair,

Abid Ali Lashari,

Il Hyo Jung,

Young Il Seo,

Byul Nim Kim

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/293293

Subject(s) - population , stability (learning theory) , algorithm , stability theory , mathematics , computer science , machine learning , physics , demography , nonlinear system , quantum mechanics , sociology

A mathematical model of a vector-borne disease involving variable human population is analyzed. The varying population size includes a term for disease-related deaths. Equilibria and stability are determined for the system of ordinary differential equations. If R0≤1, the disease-“free” equilibrium is globally asymptotically stable and the disease always dies out. If R0>1, a unique “endemic” equilibrium is globally asymptotically stable in the interior of feasible region and the disease persists at the “endemic” level. Our theoretical results are sustained by numerical simulations

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